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Finding the Third Proportional to 546,519,792 and 1,190,076,748

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Solution

The third proportional to 546,519,792 and 1,190,076,748 is: 2,591,457,229.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,519,792 : 1,190,076,748 = 1,190,076,748 : x
  2. Step 2: Convert to fraction form
    546,519,792/1,190,076,748 = 1,190,076,748/x
  3. Step 3: Cross multiply
    546,519,792x = 1,190,076,748 × 1,190,076,748
  4. Step 4: Simplify right side
    546,519,792x = 1,416,282,666,130,255,616
  5. Step 5: Solve for x
    x = 1,416,282,666,130,255,616/546,519,792
  6. Step 6: Final answer
    x = 2,591,457,229.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.